Translate the product of 8 and the quotient of 6 and x into an algebraic expression​

Answer:

[tex]x=82^{\circ}[/tex]

Step-by-step explanation:

We can draw a perpendicular line through the two parallel lines to create a pentagon (there is an image attached in case you need to see where the line intersects the two parallel lines). Since the angle sum of a pentagon is [tex]540^{\circ}[/tex], we can solve for [tex]x[/tex].

[tex]x+140+138+90+90 = 540[/tex] (Angle sum of pentagon is [tex]540^{\circ}[/tex])

[tex]x+458=540[/tex] (collect like-terms)

[tex]x=82^{\circ}[/tex]

Hope this helps :)

Answer:

The 95%  confidence interval is

           [tex] 0.45 <  \mu_1 - \mu_2  < 5.35 [/tex]

Step-by-step explanation:

From the question we are told that

   The first sample size is  [tex]n_1 = 36[/tex]

   The first  sample mean is  [tex]\= x_1 = 3.5[/tex]

   The first standard deviation is  [tex]\sigma_1 = 5.9 \ pounds[/tex]

   The second  sample size is [tex]n_2 = 36[/tex]

    The second  sample mean is  [tex]\= x_2 = 0.6[/tex]

    The second  standard deviation is [tex]\sigma = 4.4[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df = \frac{ [ \frac{s_1^2 }{n_1 } + \frac{s_2^2 }{n_2} ]^2 }{ \frac{1}{(n_1 - 1 )} [ \frac{s_1^2}{n_1} ]^2 + \frac{1}{(n_2 - 1 )} [ \frac{s_2^2}{n_2} ]^2 }[/tex]

=>  [tex]df = \frac{ [ \frac{5.9^2 }{34 } + \frac{4.4^2 }{34} ]^2 }{ \frac{1}{(34 - 1 )} [ \frac{5.9^2}{34} ]^2 + \frac{1}{(34- 1 )} [ \frac{4.4^2}{ 34} ]^2 }[/tex]

=>  [tex]df =63[/tex]

Generally the standard error is mathematically represented as

      [tex]SE = \sqrt{ \frac{s_1 ^2 }{n_1} + \frac{s_2^2 }{ n_2 } }[/tex]

=>  [tex]SE = \sqrt{ \frac{ 5.9 ^2 }{ 36 } + \frac{ 4.4^2 }{36} }[/tex]

=>  [tex]SE = 1.227[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of   at a degree of freedom of is  

     [tex]t_{\frac{\alpha }{2}, 63  } =  1.998  [/tex]

Generally the margin of error is mathematically represented as

        [tex]E = t_{\frac{\alpha }{2}, 63 } * SE[/tex]

=>    [tex]E = 1.998 * 1.227[/tex]

=>    [tex]E = 2.45[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex](\= x_1 - \x_2) -E <  \mu <(\= x_1 - \x_2)  + E[/tex]

 => [tex](3.5  - 0.6) - 2.45 <  \mu_1 - \mu_2  < (  3.5  - 0.6)  + 2.45 [/tex]

=>   [tex] 0.45 <  \mu_1 - \mu_2  < 5.35 [/tex]

Answer:

Step-by-step explanation:

a. 9/12 + 8/12 = 17/12= 1 5/12

b. 7/8 - 2/8 = 5/8

c. 3/5 x 1/3 = 3/15 = 1/5

d. 4/7 x 2/3 = 8/21

Answer:

hard!

Step-by-step explanation:

Answer: 120

B

Step-by-step explanation: got it right on edge

Answer:

B.) 120

Step-by-step explanation:

9514 1404 393

Answer:

  $738

Step-by-step explanation:

The ratio of Ellen's share (e) to Tom's share is ...

  30%/20% = e/492

Multiplying by 492, we have ...

  e = 492(3/2) = 738

Ellen's share of the profits is $738.

Answer: 145

Step-by-step explanation:

Given:

58 = 40%(x)

Step 1: Turn 40% into a decimal and divide it to the other side

When turning a percentage into a decimal, the decimal point has to be moved two places to the left.  This means that 40% will be turned into 0.4.

58 = 0.4(x)

Divide 0.4 over to the other side.

58/0.4 = 0.4/0.4(x)

0.4 is the same as 4/10.  This means that 58/1 is divided by 4/10.  When dividing a number by a fraction, you invert the fraction and multiply it by the number.

58/1 * 10/4 = 580/4 = 145

145 = x

This is your answer

Answer:

SAS

Step-by-step explanation:

Only two sides are proven to be congruent and the angle in between the two is a corresponding angle, making them congruent.

The given rule of the dilation indicates that the scale factor is 3 which is

larger than one, therefore, given an enlarged image.

The correct options are;

Please find attached the possible diagram of rectangle LMNP obtained from a similar question posted online;

L'M' = 12

LM = 4

MN = 6

The rule of the dilation of rectangle LMNP = [tex]D_{p, \, 3}[/tex]

L'M' = 3 × LM

Therefore;

The image following the dilation of the preimage LMNP, which is rectangle L'M'N'P' is larger than LMNP

Therefore;

The scale factor is the number with which the preimage dimension is multiplied to get the image, which is 3

M'N' = 3 × MN

Therefore;

Learn more about scale factor of a dilation here:

https://brainly.com/question/840682

Answer:

a. The length of line segment M'N' is 18 units.

d. The dilation is an enlargement.

f. The scale factor is 3.

Step-by-step explanation:

got it right on ed23

Answer:

2

Step-by-step explanation:

Slope of the line can be found using the two points, (2, 2) and (6, 10):

[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (2, 2) = (x_1, y_1) [/tex]

[tex] (6, 10) = (x_2, y_2) [/tex]

[tex] slope (m) = \frac{10 - 2}{6 - 2} [/tex]

[tex] Slope (m) = \frac{8}{4} = 2 [/tex]

Answer: 1/12

i think maybe

Step-by-step explanation:

-6 + 12p + 31 > 71

12p + 25 > 71

12p > 46

p > 23/6.

Answer:

Step-by-step explanation:

12p>71+6-31

12p>46

p>23/6

Answer:

5 is 1

6 is 2/3

7 is 2/3

8 is 2

Answer:

y=2p+9   i really hope this helps and you dont have to venmo me anything but i had to hurry because i have a quiz and i have to go. bye. hope this helped

Step-by-step explanation:

Answer:

23358.1

Step-by-step explanation:

Answer:

216.2

Step-by-step explanation:

[tex]a^2+b^2=c^2\\\\c=3959+5.9\\\\b=3959\\\\a=x\\\\\\(x)^2+(3959)^2=(3964.9)^2\\\\x^2=(3964.9)^2-(3959)^2\\\\x^2=(3964.9-3959)(3964.9+3959)\\\\x^2=5.9(7923.9)\\\\x\approx 216.2[/tex]

Answer:

170

Step-by-step explanation:

3.4*10^5= 34*10000=340000

But, 2* 10^3= 2*1000= 2000

finaly you do 340000/2000=170

So the final answer is 170.

Answer:

170

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Option C

Step-by-step explanation:

To find the nature of the roots we use the Discriminant formula which is:

[tex]D=b^2-4ac[/tex]

and given the equation and compare with the standard quadratic equation

[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]

Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula

[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]

Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the  the  Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's  value is a whole number then it is rational and so 161 has a square roots in points which is

[tex]D=\sqrt{161} \\D=12.6885[/tex]

So our answer is real , irrational and unequal which is Option C

Hope it work for u

We can make points from the given figure as ,

1 point =(x1, y1)=(-2, -3)

2nd point =(x2, y2)=  (0, -6)

3rd point = (x3, y3)=(2 , -9)

Now the equation of line is,

now two point formula of slope is ,

putting points in it we get

m=(-6-(-3))/(0-(-2)

m=-3/2 is slope

Now to find C putt the value of m and 3rd point in equation of line we get

y3=m(x3)+c

-9=(-3/2)(2)  +c

C= -9+3

C=-6  is value of c

Now at last putt the value of C and m in equation of line we get the required equation ,

.........................

Answer:

L = 25

Step-by-step explanation:

Let's call the Length x and width x - 15 since the width is 15 less than length

Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides

x + x + (x - 15) + (x - 15) = 70 add like terms

4x - 30 = 70 add 30 to both sides

4x = 100 divide both sides by 4

x = 25

Answer :

Given :

To find :

Solution :

We know that for fencing we need to find the perimeter ,

Let us assume the value of length be x yards

Solving the question we get ,

Length = 25 yards

Breadth = 25 - 4

Answer:

❤️❤️❤️❤️

Answer:

D. None are true.

Step-by-step explanation:

f(x)=-2x-1

g(x)=-1/2x+1/2

perpendicular( inverse ) slope = -1

-2*-1/2 = 1, so not perpendicular.

III is wrong.

So, it can't be C.

Since they are not perpendicular, if you place x in one, the other will be wrong, same with the other, so not A or B.

The correct answer is D.

Hope this helps plz hit the crown :D

First of all, move the terms so that all those who involve [tex]x[/tex] are on one side, and all the costants are on the other:

[tex]29 + 15x = -x - 3 \iff 15x+x=-29-3[/tex]

Sum like terms:

[tex]15x+x=-29-3 \iff 16x=-32[/tex]

Divide both sides by 16:

[tex]x=-2[/tex]

Step-by-step explanation:

N~(62, 12^2)

Use Z-score formula (can find in internet)

[tex] z = \frac{74 - 62}{12} \\ z = \frac{12}{12} \\ z = 1[/tex]

Note: It seems, you missed to add the correct option. But, I am solving the question to clear your concept anways.

Answer:

The coordinates of H are:

Step-by-step explanation:

Given the points

Since Point G and point H are the same distance from point F, therefore the point F is the mid-point of G and H

using the mid-point formula

[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Since the point F is the mid-point of G and H, so

m = (3, 2)

as

Thus, substituting m = (3, 2), (x₁, y₁) = (4, 4) to determine coordinates of the point H (x₂, y₂)

[tex]m\:=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(3,\:2\right)\:=\:\left(\frac{x_2+4}{2},\:\:\frac{y_2+4}{2}\right)[/tex]

so

[tex]\:\:3\:=\:\frac{x_2+4}{2}[/tex]

[tex]x_2+4=6[/tex]

subtract 4 from both sides

[tex]x_2+4-4=6-4[/tex]

[tex]x_2=2[/tex]

and

[tex]2=\:\frac{y_2+4}{2}[/tex]

[tex]\:y_2+4\:=\:4[/tex]

subtract 4 from both sides

[tex]y_2=0[/tex]

Thus, the coordinates of H are:

Note: It seems, you missed to add the correct option.

Answer:

5 minutes

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

20/80 in can be reduced to 1/4 and 1/4 equals 25%.

We have:

[tex]\dfrac{20}{80} = \dfrac{\%} {100}[/tex]

Solving for %:

[tex]\% = \dfrac{20\cdot 100}{80} = 25\%[/tex]